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Simplifying (8 + x)(10 + y) = 224 Multiply (8 + x) * (10 + y) (8(10 + y) + x(10 + y)) = 224 ((10 * 8 + y * 8) + x(10 + y)) = 224 ((80 + 8y) + x(10 + y)) = 224 (80 + 8y + (10 * x + y * x)) = 224 (80 + 8y + (10x + xy)) = 224 Reorder the terms: (80 + 10x + xy + 8y) = 224 (80 + 10x + xy + 8y) = 224 Solving 80 + 10x + xy + 8y = 224 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + 10x + xy + -80 + 8y = 224 + -80 Reorder the terms: 80 + -80 + 10x + xy + 8y = 224 + -80 Combine like terms: 80 + -80 = 0 0 + 10x + xy + 8y = 224 + -80 10x + xy + 8y = 224 + -80 Combine like terms: 224 + -80 = 144 10x + xy + 8y = 144 Add '-8y' to each side of the equation. 10x + xy + 8y + -8y = 144 + -8y Combine like terms: 8y + -8y = 0 10x + xy + 0 = 144 + -8y 10x + xy = 144 + -8y Reorder the terms: -144 + 10x + xy + 8y = 144 + -8y + -144 + 8y Reorder the terms: -144 + 10x + xy + 8y = 144 + -144 + -8y + 8y Combine like terms: 144 + -144 = 0 -144 + 10x + xy + 8y = 0 + -8y + 8y -144 + 10x + xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -144 + 10x + xy + 8y = 0 The solution to this equation could not be determined.
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